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from sys import exit, stderr
from collections import defaultdict
import argparse
import numpy as np
from sklearn.linear_model import LinearRegression
import matplotlib.pyplot as plt
# The header of each .csv names its data and lists the layer stack it was
# written for, so it catches both swapped and mismatched input files.
NETS_HEADER = "# Net RC: "
SEGMENTS_HEADER = "# Segment RC: "
ROW_COLUMNS = 6
# The .csv data comes from ODB which stores capacitance in fF.
CAP_FF_TO_F = 1e-15
# Parsing
# =============================================================================
def parse_args():
parser = argparse.ArgumentParser(
description="Determines layer capacitance and resistance values for OpenROAD flow designs"
)
parser.add_argument(
"-cap_unit", required=False, default="pf", help="capacitance unit ff|pf"
)
parser.add_argument(
"-res_unit", required=False, default="kohm", help="resistance unit ohm|kohm"
)
parser.add_argument(
"-plot_cap",
required=False,
action="store_true",
default=False,
help="Plot grt/rcx capacitance differences",
)
parser.add_argument(
"-plot_res",
required=False,
action="store_true",
default=False,
help="Plot grt/rcx resistance differences",
)
parser.add_argument(
"-nets_rc_file",
required=False,
nargs="+",
default=[],
metavar="FILE",
help="Net RC csv file(s) written by make write_rc, required for the plots",
)
parser.add_argument(
"-segments_rc_file",
required=True,
nargs="+",
metavar="FILE",
help="Segment RC csv file(s) written by make write_rc, used to fit the layer RC values",
)
args = parser.parse_args()
if (args.plot_cap or args.plot_res) and not args.nets_rc_file:
parser.error("-nets_rc_file is required to plot the grt/rcx differences")
return args
def resolve_units(args):
res_unit = args.res_unit
if res_unit == "ohm":
res_scale = 1
elif res_unit == "kohm":
res_scale = 1e3
else:
print("Unknown resistance unit.", file=stderr)
exit(1)
cap_unit = args.cap_unit
if cap_unit == "ff":
cap_scale = 1e-15
elif cap_unit == "pf":
cap_scale = 1e-12
else:
print("Unknown capacitance unit.", file=stderr)
exit(1)
return res_unit, res_scale, cap_unit, cap_scale
def read_nets_rc(file_names):
nets = []
routing_layers = []
header_line = None
for file_name in file_names:
print(f"Reading {file_name}.")
# Each file has to bring its own header, so that a file of another kind
# is not read against the header of the previous one.
file_header_line = None
with open(file_name) as file:
for line in file:
line = line.strip()
if line.startswith(NETS_HEADER):
if header_line is not None and header_line != line:
print("Layer stack inconsistent.", file=stderr)
exit(1)
header_line = line
file_header_line = line
routing_layers = [
layer.removesuffix("(routing)")
for layer in line.removeprefix(NETS_HEADER).split()
if layer.endswith("(routing)")
]
continue
if not line or line.startswith("#"):
continue
if file_header_line is None:
print(f"No net RC header found in {file_name}.", file=stderr)
exit(1)
tokens = line.split(",")
if len(tokens) != ROW_COLUMNS:
print(f"Malformed net RC line: {line}", file=stderr)
exit(1)
nets.append(
{
"file_name": file_name,
"name": tokens[0],
"type": tokens[1],
"grt_res": float(tokens[2]),
"grt_cap": float(tokens[3]),
"rcx_res": float(tokens[4]),
"rcx_cap": float(tokens[5]),
}
)
if not nets:
print("No net RC data found.", file=stderr)
exit(1)
for key, name in (
("grt_res", "GRT resistance"),
("grt_cap", "GRT capacitance"),
("rcx_res", "RCX resistance"),
("rcx_cap", "RCX capacitance"),
):
count = sum(1 for net in nets if net[key] == 0.0)
if count > 0:
print(f"Found {count} nets with zero {name}.")
return nets, routing_layers
def read_segments_rc(file_names):
layer_segments = defaultdict(
lambda: {"lengths": [], "resistances": [], "capacitances": []}
)
layer_net_type_length = defaultdict(lambda: defaultdict(float))
routing_layers = []
header_line = None
for file_name in file_names:
print(f"Reading {file_name}.")
# Each file has to bring its own header, so that a file of another kind
# is not read against the header of the previous one.
file_header_line = None
with open(file_name) as file:
for line in file:
line = line.strip()
if line.startswith(SEGMENTS_HEADER):
if header_line is not None and header_line != line:
print("Layer stack inconsistent.", file=stderr)
exit(1)
header_line = line
file_header_line = line
routing_layers = line.removeprefix(SEGMENTS_HEADER).split()
continue
if not line or line.startswith("#"):
continue
if file_header_line is None:
print(f"No segment RC header found in {file_name}.", file=stderr)
exit(1)
tokens = line.split(",")
if len(tokens) != ROW_COLUMNS:
print(f"Malformed segment RC line: {line}", file=stderr)
exit(1)
net_type = tokens[1]
layer = tokens[2]
length = float(tokens[3])
if layer not in routing_layers:
print(f"Layer {layer} is not in the header.", file=stderr)
exit(1)
layer_segments[layer]["lengths"].append(length)
layer_segments[layer]["resistances"].append(float(tokens[4]))
layer_segments[layer]["capacitances"].append(float(tokens[5]))
layer_net_type_length[layer][net_type] += length
if not layer_segments:
print("No segment RC data found.", file=stderr)
exit(1)
for key, name in (("resistances", "resistance"), ("capacitances", "capacitance")):
count = sum(
1
for segments in layer_segments.values()
for value in segments[key]
if value == 0.0
)
if count > 0:
print(f"Found {count} segments with zero {name}.")
return routing_layers, layer_segments, layer_net_type_length
# Fitting
# =============================================================================
def fit_layer_models(routing_layers, layer_segments):
layer_models = {}
for layer_name in routing_layers:
# There may be routing layers with no segments, so we check if the
# layer exists in the dict.
if layer_name not in layer_segments:
continue
# sklearn requires the input to be 2D, so we reshape to add a dimension
# to the list.
lengths = np.array(layer_segments[layer_name]["lengths"]).reshape(-1, 1)
resistances = np.array(layer_segments[layer_name]["resistances"])
capacitances_ff = np.array(layer_segments[layer_name]["capacitances"])
res_model = LinearRegression(fit_intercept=False).fit(lengths, resistances)
cap_model = LinearRegression(fit_intercept=False).fit(lengths, capacitances_ff)
layer_models[layer_name] = (
res_model,
cap_model,
lengths,
resistances,
capacitances_ff,
)
return layer_models
# sklearn's default baseline model for scoring the fit i.e., measuring R² is
# "predict the mean" which is not the proper model for our regressions since
# both R and C are through-origin fits - the R² computation doesn't behave
# well for var(y) ≈ 0 - so we compute R² manually with a "predict zero"
# baseline model.
def compute_through_origin_fit_score(model, inputs, observed):
sum_squared_observed = (observed**2).sum()
if sum_squared_observed == 0:
return "No data"
score = 1.0 - ((observed - model.predict(inputs)) ** 2).sum() / sum_squared_observed
return f"{score:.4f}"
def wire_rc_fit(
layer_models, layer_net_type_length, res_scale, cap_scale, target_net_type=None
):
total_length = 0.0
total_resistance = 0.0
total_capacitance = 0.0
for layer_name, (res_model, cap_model, lengths, _, _) in layer_models.items():
if target_net_type is not None:
layer_length = sum(
layer_net_type_length[layer_name][net_type]
for net_type in target_net_type
)
else:
layer_length = float(lengths.sum())
total_resistance += res_model.coef_[0] * layer_length
total_capacitance += cap_model.coef_[0] * layer_length
total_length += layer_length
if total_length == 0.0:
return None
return (
total_resistance / total_length / res_scale,
total_capacitance / total_length * CAP_FF_TO_F / cap_scale,
)
# Report
# =============================================================================
def print_fit_scores(layer_models, res_unit, cap_unit):
print("\nUnits: resistance [{}/um], capacitance [{}/um]".format(res_unit, cap_unit))
print("{:<13s} | {:>8s} | {:>8s}".format("\nLayer", "Res R²", "Cap R²"))
print("-" * 34)
for layer_name, (
res_model,
cap_model,
lengths,
resistances,
capacitances_ff,
) in layer_models.items():
r_sq_res = compute_through_origin_fit_score(res_model, lengths, resistances)
r_sq_cap = compute_through_origin_fit_score(cap_model, lengths, capacitances_ff)
print("{:<12s} | {:>8s} | {:>8s}".format(layer_name, r_sq_res, r_sq_cap))
print("-" * 34)
print("")
def print_layer_rc(layer_models, res_scale, cap_scale):
for layer_name, (res_model, cap_model, _, _, _) in layer_models.items():
print(
"set_layer_rc -layer {} -resistance {:.5E} -capacitance {:.5E}".format(
layer_name,
res_model.coef_[0] / res_scale,
cap_model.coef_[0] * CAP_FF_TO_F / cap_scale,
)
)
print("")
def print_wire_rc(layer_models, layer_net_type_length, res_scale, cap_scale):
result = wire_rc_fit(layer_models, layer_net_type_length, res_scale, cap_scale)
if result is None:
print("[Warning] No layer was fitted.")
return
resistance, capacitance = result
print(
"set_wire_rc -resistance {:.5E} -capacitance {:.5E}".format(
resistance, capacitance
)
)
for net_type in ["signal", "clock"]:
result = wire_rc_fit(
layer_models, layer_net_type_length, res_scale, cap_scale, [net_type]
)
if result is None:
print("[Warning] No {} nets were found.".format(net_type))
continue
resistance, capacitance = result
print(
"set_wire_rc -{} -resistance {:.5E} -capacitance {:.5E}".format(
net_type, resistance, capacitance
)
)
print("")
# Plot
# =============================================================================
def plot_grt_rcx_diff(nets, quantity, name, unit, scale, discrepancy_threshold):
differences = []
differences_percent = []
for net in nets:
grt_value = net[f"grt_{quantity}"]
rcx_value = net[f"rcx_{quantity}"]
if grt_value <= 0.0 or rcx_value <= 0.0:
continue
difference = grt_value - rcx_value
if abs(difference) > discrepancy_threshold:
print(f"Large discrepancy: {net['file_name']} {net['name']} {difference}")
differences.append(difference / scale)
differences_percent.append(difference / rcx_value * 100)
if not differences:
print(f"No net {name.lower()} data to plot.", file=stderr)
exit(1)
# Generate histograms
num_bins = 200
fig = plt.figure()
fig.suptitle(f"Difference between GRT est. and RCX {name}")
plt.subplot(2, 2, 1)
plt.hist(differences, num_bins, facecolor="blue", alpha=0.5)
plt.ylabel("# Nets")
plt.xlabel(
"{} ({})\n\nMean: {:.3f}{}\nStd. dev: {:.3f}{}".format(
name, unit, np.mean(differences), unit, np.std(differences), unit
)
)
plt.subplot(2, 2, 2)
plt.hist(
differences_percent, num_bins, range=(-1000, 1000), facecolor="blue", alpha=0.5
)
plt.ylabel("# Nets")
plt.xlabel(
"%\n\nMean: {:.3f}%\nStd. dev: {:.3f}%".format(
np.mean(differences_percent), np.std(differences_percent)
)
)
plt.show()